I am not sure that I understand you — how is the capacity of the mind to perceive reality related to the particle/math comparison?

Feynman sought to predict particle interactions, by adding together all the possible interaction paths. That *sum* is what we observe, so that sum is *analogous* to the sum of maths. Yet, that analogy does not make them **interchangeable**. The maths being combined are each a *different set of axioms*. One math = multiple axioms as its foundation; another math = different axioms as foundation. A particle is not a set of axioms. Though, if you sum all these axiomatic systems’ behaviors, *analogous* to the sum of particle paths, then the only remaining axiomatic sets are those which allow intelligent systems.